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Finding the Fourth Proportional to 550.15, 824.05 and 512.17

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Solution

The fourth proportional to 550.15, 824.05 and 512.17 is: 767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.15 : 824.05 = 512.17 : x
  2. Step 2: Convert to fraction form
    550.15/824.05 = 512.17/x
  3. Step 3: Cross multiply
    550.15x = 824.05 × 512.17
  4. Step 4: Simplify right side
    550.15x = 422,053.69
  5. Step 5: Solve for x
    x = 422,053.69/550.15
  6. Step 6: Final answer
    x = 767.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.